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41410023023232 = 273361343195329
BaseRepresentation
bin10010110101001100001011…
…01101100110001010000000
312102121202111201000010212000
421122212011231212022000
520411430211343220412
6224023300231104000
711502526655015613
oct1132460555461200
9172552451003760
1041410023023232
111221598a492036
124789658b12000
131a14c438902c6
14a32381d1c17a
154bc282c864dc
hex25a985b66280

41410023023232 has 128 divisors (see below), whose sum is σ = 122219699904000. Its totient is φ = 13803045322752.

The previous prime is 41410023023203. The next prime is 41410023023293. The reversal of 41410023023232 is 23232032001414.

41410023023232 is a `hidden beast` number, since 4 + 1 + 4 + 100 + 230 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41410023023196 and 41410023023205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211903744 + ... + 212099072.

It is an arithmetic number, because the mean of its divisors is an integer number (954841405500).

Almost surely, 241410023023232 is an apocalyptic number.

It is an amenable number.

41410023023232 is an abundant number, since it is smaller than the sum of its proper divisors (80809676880768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41410023023232 is a wasteful number, since it uses less digits than its factorization.

41410023023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256695 (or 256677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41410023023232 its reverse (23232032001414), we get a palindrome (64642055024646).

The spelling of 41410023023232 in words is "forty-one trillion, four hundred ten billion, twenty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 61343 122686 184029 195329 245372 368058 390658 490744 552087 585987 736116 781316 981488 1104174 1171974 1472232 1562632 1656261 1757961 1962976 2208348 2343948 2944464 3125264 3312522 3515922 3925952 4416696 4687896 5273883 5888928 6250528 6625044 7031844 7851904 8833392 9375792 10547766 11777856 12501056 13250088 14063688 17666784 18751584 21095532 23555712 25002112 26500176 28127376 35333568 37503168 42191064 53000352 56254752 70667136 75006336 84382128 106000704 112509504 168764256 212001408 225019008 337528512 675057024 11982066847 23964133694 35946200541 47928267388 71892401082 95856534776 107838601623 143784802164 191713069552 215677203246 287569604328 323515804869 383426139104 431354406492 575139208656 647031609738 766852278208 862708812984 1150278417312 1294063219476 1533704556416 1725417625968 2300556834624 2588126438952 3450835251936 4601113669248 5176252877904 6901670503872 10352505755808 13803341007744 20705011511616 41410023023232